<PRE><B>Question 549834</B>
Express f(x)=4x^2-12x+5 in factored form and determine the x intercepts, the vertex and sketch the graph of the function 
-------------------
Factor: 4x^2-12x+5
---
= 4x^2-10x-2x+5
---
= 2x(2x-5)-(2x-5)
----
f(x) = (2x-5)(2x-1)
=========================
x-intercepts: x = 5/2 ; x = 1/2
---
Vertex:::
x = -b/2a = 12/8 = 3/2
f(3/2) = 4(3/2)^2-12(3/2)+5 = 4(9/4)-18+5 = -4
Vertex: ((3/2),-4)
------------------------
Graph:
{{{graph(400,400,-10,10,-10,10,4x^2-12x+5)}}}
-----------------
Cheers,
Stan H.
=================
</PRE>